Abstract
In this paper, we present a summary of our recent research on local and global weighted (singular) Trudinger–Moser inequalities with remainder terms, critical Hardy-type and weighted Gagliardo–Nirenberg inequalities on general stratified groups. These include the cases of \(\mathbb R^n\) and Heisenberg groups. Moreover, the described critical Hardy-type inequalities give the critical case of the Hardy-type inequalities from [4].
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